Most of its playing members were British born and excluded native Americans from participating in their 'English game.' The local resentment this English social exclusivity amongst New York ball players may have created the impetus for cricket to be designated as an "English" game in the US though it had been played for over a century at the time. The SGCC club travelled to Canada on several occasions in the 1850s encouraging a touring tradition for American sport which culminated in George Parr's All England XI visiting New York and Montreal in 1859. This was the first occasion that a professional team of players in any sport had played in the United States. The All England Team of professionals played a US XXII team which comprised five SGCC players.

The grounds at St George's Club in Hoboken, NJ were also the site of the 1883 defeat of the University of Michigan football team at the hands of Stevens Institute of Technology by a score of 5 to 1. In this game, the superior air game used by Eastern teams at the time overcame Michigan's ground game. The reporter from the New York Times stated, "Up to the end of the first inning it seemed as if the superior weight and strength of the visiting team would carry the day, but, when the sides were changed in the latter half, the Stevens team turned the tables upon their opponents and showed the superiority of science"[2] At the time, Stevens Institute had 150 students to pick a team from to Michigan's 1500.[3]